The collective behaviour of a complex system cannot be understood and predicted by considering the basic units of the system in isolation [1]}, [2]}. Complex networks [3]}, [4]} are often used to represent complex systems in which the basic unit of interaction, the edge, represents pairwise interactions. However, in systems represented by networks there are often local processes, known as higher-order interactions, where groups of more than two participants interact and the set of pairwise interactions does not capture the whole picture [5]}.
Research has revealed that many empirical systems display higher-order interactions, for example social systems [6]}, [7]}, [8]}, neuroscience [9]}, [10]}, [11]}, biology [12]}, and ecology [13]}.
Therefore to understand the dynamics of real complex systems we often need to describe interactions beyond the simplest pairwise relationships.
